74706426385920 has 5760 divisors, whose sum is σ = 355575341721600. Its totient is φ = 14675689340928.

The previous prime is 74706426385889. The next prime is 74706426385991. The reversal of 74706426385920 is 2958362460747.

74706426385920 is a `hidden beast` number, since 7 + 4 + 7 + 0 + 6 + 4 + 2 + 6 + 38 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 839398049236 + ... + 839398049324.

It is an arithmetic number, because the mean of its divisors is an integer number (61731830160).

Almost surely, 2^{74706426385920} is an apocalyptic number.

74706426385920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74706426385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177787670860800).

74706426385920 is an abundant number, since it is smaller than the sum of its proper divisors (280868915335680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74706426385920 is a wasteful number, since it uses less digits than its factorization.

74706426385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 74706426385920 in words is "seventy-four trillion, seven hundred six billion, four hundred twenty-six million, three hundred eighty-five thousand, nine hundred twenty".